Atkin-Lehner |
2- 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6786o |
Isogeny class |
Conductor |
6786 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
4397328 = 24 · 36 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-59,155] |
[a1,a2,a3,a4,a6] |
j |
30664297/6032 |
j-invariant |
L |
4.6556391997051 |
L(r)(E,1)/r! |
Ω |
2.3278195998525 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54288br1 754c1 88218r1 |
Quadratic twists by: -4 -3 13 |